SOLUTION: Multiply, then simplify the product. Assume that all variables represent positive numbers. <a href="http://photobucket.com" target="_blank"><img src="http://i83.photobucket.com

Algebra ->  Square-cubic-other-roots -> SOLUTION: Multiply, then simplify the product. Assume that all variables represent positive numbers. <a href="http://photobucket.com" target="_blank"><img src="http://i83.photobucket.com      Log On


   



Question 46685: Multiply, then simplify the product. Assume that all variables represent positive numbers.
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Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
 _  _    _
Ö5(Ö5 + Ö2)
                _
Distribute the Ö5
 _  _    _  _
ÖÖ5 + ÖÖ2

Multiply underneath the radicals
 ___    ___
Ö5·5 + Ö5·2

Write 5·5 as 5² and write 5·2 as 10
 __    __
Ö5² + Ö10

The square root of the square of 5 takes 
away the square and the square root, so
you just have 5. You end up with
     __
5 + Ö10

Edwin